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72629050 = 25213293853
BaseRepresentation
bin1000101010000…
…11101100111010
312001122221022211
410111003230322
5122043112200
611112405334
71541223334
oct425035472
9161587284
1072629050
1137aa730a
12203a684a
131207c390
149908454
156599aba
hex4543b3a

72629050 has 48 divisors (see below), whose sum is σ = 150537240. Its totient is φ = 25885440.

The previous prime is 72629017. The next prime is 72629057. The reversal of 72629050 is 5092627.

It can be written as a sum of positive squares in 12 ways, for example, as 11648569 + 60980481 = 3413^2 + 7809^2 .

It is not an unprimeable number, because it can be changed into a prime (72629057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16924 + ... + 20776.

Almost surely, 272629050 is an apocalyptic number.

72629050 is an abundant number, since it is smaller than the sum of its proper divisors (77908190).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72629050 is a wasteful number, since it uses less digits than its factorization.

72629050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3907 (or 3902 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 72629050 is about 8522.2678906498. The cubic root of 72629050 is about 417.2248057977.

The spelling of 72629050 in words is "seventy-two million, six hundred twenty-nine thousand, fifty".

Divisors: 1 2 5 10 13 25 26 29 50 58 65 130 145 290 325 377 650 725 754 1450 1885 3770 3853 7706 9425 18850 19265 38530 50089 96325 100178 111737 192650 223474 250445 500890 558685 1117370 1252225 1452581 2504450 2793425 2905162 5586850 7262905 14525810 36314525 72629050